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Finding the Fourth Proportional to 537.38, 741.25 and 340.55

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Solution

The fourth proportional to 537.38, 741.25 and 340.55 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.38 : 741.25 = 340.55 : x
  2. Step 2: Convert to fraction form
    537.38/741.25 = 340.55/x
  3. Step 3: Cross multiply
    537.38x = 741.25 × 340.55
  4. Step 4: Simplify right side
    537.38x = 252,432.69
  5. Step 5: Solve for x
    x = 252,432.69/537.38
  6. Step 6: Final answer
    x = 469.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.